ANA BRAVO ZARZA
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Investigación
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Áreas de investigación.
Álgebra conmutativa, geometría algebraica: resolución
de singularidades, álgebras de Rees, espacios de
arcos.
Publicaciones
1. J.M. Aldaz,
A. Bravo, S. Gutierrez, A. Ubis, “A Theorem of
D.J. Newman on Eulers phi function and
arithmetic progressions”, Amer. Math. Monthly, 108,4 (2001)
364-367.
2. A. Bravo, O.E. Villamayor U., “Strengthening the Theorem of
Embedded desingularization”, Math. Res. Letters,
8 (2001) 79-90.
3. A . Bravo, O.E. Villamayor U., “Smoothness and tangent bundles of
arithmetical schemes”, Math. Z. 239,1 (2001) 159-182.
4. A. Bravo, K. Smith, “Behavior of
test ideals under smooth and étale homomorphisms”, J. Algebra 247,1 (2002) 78-94.
5. A. Bravo, “Quasi-smoothness
and arithmetical surfaces”, J. Pure and App. Algebra, 170, 2-3 (2002) 145-173.
6. J.M. Aldaz, A. Bravo, “Perspectivas en la Teoría de los números”, Margarita
Matemática en memoria de Jose Javier
(Chicho) Guadalupe Hernandez, 247,1 273-282.
7. A. Bravo,
O.E. Villamayor U., “A strengthening of resolution of singularities in
characteristic zero”, Proc. London Math. Soc., 86 (2003) 327-357.
8. J.M. Aldaz, A. Bravo, “Euclid’s argument on the infinitude of
primes”, Amer. Math. Monthly, 110 (2003) 141-142.
9. A. Bravo,
“Canonical subalgebra bases”, Trends in
commutative algebra, ed. L. Avramov et
al, MSRI Publications, 51, Cambridge University Press, New York 2004, 249-256.
10. A. Bravo, S. Encinas, O.E. Villamayor, “A simplified proof of desingularization and
applications”, Rev. Mat. Iberoamericana,
21,2 (2005) 349-458.
11. A. Bravo, H.
Hauser, Book Review: “Resolution of Curve and Surface Singularities by K. Kiyek and J.L. Vicente. Algebras and Appplications, vol 4,
Kluwer Academic Publishers 2004”, Bull. Amer. Math. Soc., 43 (2006) 241-247.
12. A. Bravo,
O.E. Villamayor U., “Singularities in positive characteristic, stratification
and simplification of the singular locus”, Adv. in Math., 224 (2010)
1349-1418.
13. A. Bravo, O.E. Villamayor U.,” Elimination algebra and inductive arguments
in resolution of singularities”, The Assian Journal
of Mathematics, 15,3
(2011) 321-356. Special volume
in honor of H. Hironaka.
14. A. Bravo, M.L. García Escamilla, O.E. Villamayor
U., “On
Rees algebras and invariants of singularities over perfect fields”,
Indiana University
Math. Journal, 61 (3)
(2012) 1201-1251.
15. A. Bravo, "A remark on Strong Factorizing
Resolutions", Revista de la Real Academia de
Ciencias Exactas,
Físicas y Naturales, 107 (2013) 53-60.
16. A. Bravo, O. E. Villamayor U.,
"On the behavior of the multiplicity on schemes: stratifications and
blow-ups". The Resolution of Singular Algebraic
Varieties, Clay Mathematics proceedings, vol 20,
pp. 81-207; Edited by: David Ellwood, Harvard
University, Cambridge, MA, Herwig Hauser, Universtitat Wien,
Vienna, Austria, Shigefumi Mori, RIMS,
Kyoto University, Japan, and Josef Schicho, Austrian
Academy of Sciences, Linz, Austria. AMS-Clay Mathematics Institute, 2014. ISBN-13:
978-0-8218-8982-4.
17. A. Bravo, S. Encinas, B. Pascual-Escudero,
“Nash
multiplicities and resolution invariants”, Collect. Math., 68
(2017) 175-217.
Prepublicaciones
- C.
Abad, A. Bravo, O. E. Villamayor U.,
“Finite
morphisms and simultaneous reduction of the multiplicity”. Aparecerá en Math. Nachr..
- A.
Bravo, S. Encinas, B. Pascual-Escudero, “Nash
multiplicity sequences
and Hironaka’s order function”. Aparecerá en Indiana U. Math.
Journal.
- A. Bravo, S. Encinas,
B. Pascual-Escudero, “Contact loci and Hironaka’s order”.