PRINCIPAL

PREPRINTS

PUBLICACIONES

DOCENCIA

Publicaciones

• A. Bravo, O. Villamayor U.,
  Singularities in positive characteristic, stratification and simplification of the singular locus.
  Accepted. The Asian Journal of Mathematicas. (Hironaka special issue).

• A. Benito, S. Encinas, O. Villamayor U.,
  Some natural properties of constructive resolution of singularities.
  Accepted. The Asian Journal of Mathematicas. (Hironaka special issue).

• A. Bravo, O. Villamayor U.,
  Singularities in positive characteristic, stratification and simplification of the singular locus.
  Advances in Math, Vol. 224, Nº 4, 2010 , pags. 1349-1418

• H. Hauser, J. Schicho, O. Villamayor.
  Plain varieties.
  Bulletin of the London Math. Soc., Vol 40, Number 6, December  2008.

• Holger Brenner, Jürgen Herzog, Orlando Villamayor.
  Three Lectures on Commutative Algebra.
  University Lecture Series of the American Mathematical Society, Vol 42 (2008).
  

• O. Villamayor.
  "Elimination with applications to singularities in positive characteristic."
  Publications of RIMS, Kyoto University. Vol 44, No. 2, 2008.
  Volume in honor of Professor H. Hironaka.


• Santiago Encinas, Orlando Villamayor U.
  "Rees algebras and resolution of singularities".
  Actas del ``XVI Coloquio Latinoamericano de Algebra'' (Colonia del Sacramento, Uruguay, 2005), Rev. Mat. Iberoamericana (2007) 1-24.


• O. Villamayor U.
  Hypersurface singularities in positive characteristic.
  Adv. in Math. Vol. 213, Nº 2, 2007, pags. 687-733
  


• O. Villamayor.
  Rees algebras on smooth schemes: integral closure and higher differential operators.
  Revi. Mat. Iberoamericana, Vol 24, Number 1 (2008), 213-242..
  


• O. Villamayor
  On flattening of coherent sheaves and of projective morphisms.
  Journal of Algebra. 295 (2006) 119-140.


• O. Villamayor
  On constructive desingularization.
  Journal of Symbolic Computation 39(2005) 465-491.


• I. Swanson, O. Villamayor
  On free Integral extensions generated by one element.
  Commutative Algebra with a focus on geometric and homological aspects.Proceedings of Sevilla 2003. Marcel Dekker’s Lecture Notes in Pure and Applied Mathematics.


• A. Bravo, S. Encinas, O. Villamayor
  A Simplified proof of desingularization and applications.
  Revista Matemática Iberoamericana (2005) Vol. 21, no. 2.


• S. Encinas, O. Villamayor
  A new proof of desingularization over fields of characteristic zero.
  Revista Matemática Iberoamericana (2003) Vol. 19, no. 2.


• A.Bravo-O.Villamayor
  A strengthening of resolution of singularities in characteristic zero.
  Proc. London Mathematical Society 86 (2003) , no. 2, 327-357


• S. Encinas, A. Nobile, O. Villamayor
  On algorithmic equiresolution and stratification of Hilbert schemes.
  Proceedings London Mathematical Society 86 (2003), no. 3, 607-648


• A. Bravo-O.Villamayor
  Strengthening the theorem of embedded desingularization.
  Mathematical Research Letters 8, 79-89(2001)


• A.Bravo-O.Villamayor
  Smoothness and tangent bundles of arithmetical schemes.
  Math. Z. 2001, Vol. 239,1


• S. Encinas, O. Villamayor
  A course on constructive desingularization and equivariance.
  "Resolution of singularities", Progress in Mathematics, vol. 181, pp. 147—227. Birkhauser 2000.


• O. Villamayor
  Singularity of the embedded hypersurface and Tschirnhausen revisited.
  Academia Nacional de Ciencias en Córdoba (Argentina). Boletín n·m. 65.


• O. Villamayor
  On a question of Zariski.
  Acta Mathematica, vol. 185, 123-159 (2000).


• Nobile-O. Villamayor
  Arithmetic families of smooth surfaces and the notion of equisingularity.
  Manuscripta Math. 100 173-196 (1999)


• A. Nobile-O. Villamayor
  Zariski's factorization theory for sheaves of ideals on arithmetic three-folds.
  Communications in Algebra. 26, 2669-2688 (1998).


• E. Hyry and O. Villamayor
  A Brianson-Skoda theorem for isolated singularities.
  Journal of Algebra. 204, 1998, 656-665.


• S. Encinas-O. Villamayor
  Good points and constructive resolution of singularities.
  Acta Mathematica. Vol. 181, 1998, 109-158.


• A. Nobile-O. Villamayor
  Equisingular stratifications associated to families of planar ideals.
  Journal of Algebra, 193, 239-259 (1997).


• O. Villamayor
  On smoothness and blowing ups of arithmetical Schemes.
  Math. Zeit, 225, 317-332 (1997).


• O. Villamayor
  Resolution in families.
  Math. Annalen, 309, 1-19(1997).


• O. Villamayor
  On good points and a new canonical algorithm of resolution of singularities.
  Real Analytic and Algebraic Geometry Walter de Gruyter Berlin, New York, 1995


• O. Villamayor
  Introduction to the algorithm of resolution of singularities.
  Progress in Mathematics, Vol. 134 (1996), Birkhauser Verlag Basel/Switzerland.


• O. Villamayor
  Constructive resolution of singularities.
  Proceedings del Congreso de Pisa. 1993.


• Goto-Herrmann-Nishida-Villamayor
  On the structure of noetherian symbolic Rees rings.
  Manuscripta Mat. 1990, Vol. 67.


• Morales-Trung-Villamayor
  Sur la function de Hilbert Samuel des clotures integrales de puissances d'ideaux. Journal of Algebra, 1990 Vol. 129.


• O. Villamayor
  Patching local uniformization.
  Ann. Scient. Ec. Normale Sup. (Paris) 1992, Vol. 25.


• O. Villamayor
  Constructiveness of Hironaka's resolution.
  Ann. Scient. Ec. Normale Sup. (Paris) 1989, Vol. 22


• O. Villamayor
  On class groups and normality of Rees rings.
  Communications in Algebra, 1989, Vol. 17


• Herrmann-Moonen-Villamayor
  On linear type and some variants.
  Queens papers in Pure and Applied Math. no. 83, 1987. Ontario. Canada.


• O. Villamayor
  On powers of prime ideals and rational singularities.
  Journal of Algebra 1986, Vol. 103


• O. Villamayor
  On ordinary and symbolic powers of prime ideals.
  Journal of Algebra 1986 Vol. 103


• O. Villamayor
  A remark on some geometric invariants over perfect fields.
  Journal of Algebra 1985 Vol.


• O.E. Villamayor-O. Villamayor Sr.
  A remark on terrible points.
  Revista de la Unión Matemática Argentina 1979, Vol. 29.


• O. Villamayor
  On jacobian extensions of ideals.
  Bul. Soc. Brasil. de Matem. 1979, Vol. 10.


• O. Villamayor
  An extension to positive characteristic of Mather’s construction of the Thom-Boardman sequence.
  Ann. Scient. Ec. Normal Sup. (Paris) 1978. Vol 11.