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Research
Publications
| 26. C. Bivià-Ausina
and T. Fukui, Invariants for bi-Lipschitz
equivalence of ideals, |
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Quarterly Journal of Mathematics |
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| 25. C. Bivià-Ausina
and J.A.C. Huarcaya,
The special closure of
polynomial maps and global non-degeneracy, |
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Mediterranean Journal of Mathematics 14
(2017), no. 2, 14:71. |
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| 24. C. Bivià-Ausina,
Log canonical thresholds and diagonal ideals, |
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Proceedings of the American
Mathematical Society 145 (2017), no. 5,
1905–1916. |
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| 23. C. Bivià-Ausina
and T. Fukui, Mixed Lojasiewicz
exponents and log canonical thresholds of
ideals, |
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Journal of Pure and Applied Algebra 220
(2016), no. 1, 223-245. |
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| 22. C. Bivià-Ausina,
Multiplicity and Lojasiewicz exponent of
generic linear sections of monomial ideals, |
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Bulletin
of the Australian Mathematical Society
91 (2015), no. 2, 191-201. |
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| 21. C. Bivià-Ausina
and J.A.C. Huarcaya, Growth at infinity
and index of polynomial maps, |
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Journal of Mathematical Analysis and
Applications 422 (2015), no. 2, 1414-1433. |
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| 20. C. Bivià-Ausina
and S. Encinas, Lojasiewicz exponent of
families of ideals, Rees mixed
multiplicities and Newton filtrations, |
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Revista Matemática Complutense
26 (2013), No. 2, 773-798. |
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| 19. C. Bivià-Ausina, Generic linear sections of complex
hypersurfaces and monomial ideals, |
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Topology and
its Applications 159 (2012), no. 2, 414-419. |
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18. C. Bivià-Ausina and S. Encinas, The Lojasiewicz exponent of a
set of weighted homogeneous ideals,
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Journal of Pure and Applied Algebra
215
(2011), no. 4, 578-588. |
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17. C. Bivià-Ausina and S. Encinas, Lojasiewicz exponents and
resolution of singularities, |
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Archiv der Mathematik 93, No. 3 (2009),
225-234. |
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| 16. C. Bivià-Ausina, Submodules of minimal Buchsbaum-Rim
multiplicity and applications, |
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Manuscripta Mathematica 129, No. (2009), 525-544. |
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15. C. Bivià-Ausina, Local Lojasiewicz exponents,
Milnor numbers and mixed multiplicities of
ideals, |
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Mathematische Zeitschrift 262, No. 2 (2009),
389-409. |
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14. C. Bivià-Ausina, Joint reductions of monomial
ideals and multiplicity of complex analytic maps, |
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Mathematical
Research Letters 15, No. 2
(2008), 389-407. |
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13. C. Bivià-Ausina, Mixed Newton numbers and isolated
complete intersection singularities, |
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Proceedings of the London Mathematical Society
94, No. 3 (2007), 749-771. |
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12. C. Bivià-Ausina, Injectivity of real polynomial
maps and Lojasiewicz exponents at infinity, |
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Mathematische
Zeitschrift 257, No. 4 (2007),
745-767. |
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11. C. Bivià-Ausina, Jacobian ideals and the Newton
non-degeneracy condition, |
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Proceedings of the Edinburgh Mathematical
Society 48
(2005), 21-36. |
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10. C. Bivià-Ausina, The integral closure of modules,
Buchsbaum-Rim multiplicities and Newton
polyhedra, |
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Journal of the London Mathematical Society
(2) 69 (2004), 407-427. |
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9. C. Bivià-Ausina, Non-degenerate ideals in formal
power series rings, |
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Rocky Mountain Journal of Mathematics 34, 2
(2004), 495-511. |
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8. C. Bivià-Ausina, The integral closure of ideals in
C{x,y}, |
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Communications in Algebra 31, no. 12
(2003), 6115-6134. |
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7. C. Bivià-Ausina, The index of analytic vector
fields and Newton polyhedra, |
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Fundamenta Mathematicae 177 (2003),
251-267. |
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6. C. Bivià-Ausina, The analytic spread of monomial
ideals, |
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Communications in Algebra 31, no. 7 (2003),
3487-3496. |
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5. C. Bivià-Ausina, Lojasiewicz exponents, the
integral closure
of ideals and Newton polyhedrons, |
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Journal of the Mathematical
Society of Japan 55, no. 3
(2003), 655-668. |
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4. C. Bivià-Ausina, A method to estimate the degree of
Cº-sufficiency
of analytic functions |
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Experimental Mathematics 11, 1 (2002),
81-85. |
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3. C. Bivià-Ausina, T. Fukui and M.J. Saia, Newton graded algebras and the
codimension of non-degenerate
ideals, |
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Mathematical Proceedings of the Cambridge
Philosophical Society 133
(2002), 55-75. |
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2. C. Bivià-Ausina and
J.J. Nuño-Ballesteros, The deformation multiplicity of a
map germ with respect to a
Boardman symbol, |
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Proceedings of the Royal
Society of Edinburgh Sect. A
131 A (2001),
1003-1022. |
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1. C. Bivià-Ausina and
J.J. Nuño-Ballesteros, Multiplicity
of iterated Jacobian extensions of weighted
homogeneous map germs, |
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Hokkaido Mathematical Journal 29,
no.2 (2000), 341-368.
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Talks in Workshops
12th International Workshop on Real and Complex Singularities, São Carlos (São
Paulo), Brazil, 2012. |
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Workshop on Singularities in Geometry and
Applications, Bedlewo, Poland, 2011. |
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11th International Workshop on Real and Complex Singularities, São Carlos (São
Paulo), Brazil, 2010. |
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Polish-Japanese Singularity Theory Working
Days “Geometric Singularity Theory”,
Kazimierz Dolny, Poland, 2009. |
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Seminar on Singularities: Algebraic Methods,
Garachico (Tenerife), Spain, 2008. |
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10th International Workshop on Real and
Complex Singularities, on the occasion of
the 60th birthdays of M.A.S. Ruas and T.
Gaffney, São Carlos (São Paulo), Brazil,
2008. |
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The 2nd Australian-Japanese Workshop on Real
and Complex Singularities, Kyoto, Japan,
2007. |
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The Fields Institute Conference in Valuation
Theory and Integral Closures in Commutative
Algebra, Ottawa, Canada, 2006. |
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7th Meeting on Algebraic Geometry and
Commutative Algebra, Paraty (Rio de
Janeiro), Brazil, 2005. |
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25º Colóquio Brasileiro de Matemática,
Sessão Especial de Topologia e
Singularidades, IMPA, Rio de Janeiro, 2005. |
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8th International Workshop on Real and
Complex Singularities, CIRM, Marseille,
France, 2004. |
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Polish-Japanese Working Days on
Singularities, Sapporo, Japan, 2003. |
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12th MSJ-IRI Workshop on Singularity Theory
and its Applications, Sapporo, Japan, 2003. |
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7th International Workshop on Real and
Complex Singularities, São Carlos (Brazil),
2002. |
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Workshop on Real Singularities, Yokohama,
Japan, 2000. |
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Aspectos Computacionales en Álgebra
Conmutativa y Geometría Algebraica,
Valladolid, Spain, 2000. |
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22º Coloquio Brasileiro de Matemática,
Sessão Especial de Topologia e
Singularidades, IMPA, Rio de Janeiro, 1999. |
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Workshop on Singularity Theory, Warwick,
United Kingdom, 1999. |
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The XI Brazilian Meeting of Topology, Rio
Claro (São Paulo), Brazil, 1998. |
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5th International Workshop on Real and
Complex Singularities, São Carlos (São
Paulo), Brazil, 1998. |
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Conference on Singularities, Valladolid,
Spain, 1997. |
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Invited talks in
seminars of the following universities
| Nihon University (Japan) |
| Tokyo Metropolitan
University (Japan) |
| Hiroshima University (Japan) |
| Saitama University (Japan) |
| Universidade de São Paulo
(Brazil) |
| Universidade Federal de
São Carlos (São Paulo, Brazil) |
| Pontificia Universidade
Católica de Rio de Janeiro (Brazil) |
| Universidade de Montes
Claros (Minas Gerais, Brazil) |
| Universidad de Valladolid
(Spain) |
| Universitat Autònoma de
Barcelona (Centre de Recerca Matemàtica,
Spain) |
| Universidad Complutense
de Madrid (Spain) |
| Universität Paderborn (Germany) |
| Jagiellonian University (Cracow,
Poland) |
| Kielce University of
Technology (Poland) |
| University of Lódz (Poland) |
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