Barbara Fantechi

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Barbara Fantechi (* 1966 ) is an Italian mathematician who studies algebraic geometry .

Fantechi received his doctorate in 1988 under Fabrizio Catanese at the University of Pisa ( Secanti di varietà proiettive e applicazioni ). She is a professor at SISSA in Trieste. In 2008 she worked at the Institute for Advanced Study .

In 2006, together with colleagues, she was the author of a book of a modern (and more detailed than in the original work) presentation of the Fondements de la Géometrie Algébrique (FGA) by Alexander Grothendieck , a fundamental, classical series of essays on algebraic geometry from the Grothendieck school.

In 2000 she was invited speaker at the European Congress of Mathematicians in Barcelona ( Stacks for everybody ).

Fonts (selection)

  • Deformation of Hilbert schemes of points on a surface , Composition Mathematica, Volume 98, 1995, pp. 215-217
  • with Rita Pardini: On the Hilbert scheme of curves in higher dimensional projective space, Manuscripta Mathematica, Volume 90, 1996, pp. 1-15, Arxiv
  • with Kai Behrend : The intrinsic normal cone , Inventiones Mathematicae, Volume 128, 1997, pp. 45-88, Arxiv
  • with Rita Pardini: Automorphisms and moduli spaces of varieties with ample canonical class via deformations of abelian covers , Comm. in Algebra, Volume 25, 1997, pp. 1413-1441, Arxiv
  • with Marco Manetti: Obstruction calculus for functors of Artin rings , IJ of Algebra, Volume 202, 1998, pp. 541-576
  • with Marco Manetti: On the lifting theorem , J. of Algebraic Geometry, Volume 8, 1999, pp. 31-39
  • with Lothar Göttsche and Duco van Straten: Euler number of the compactified Jacobian and multiplicity of rational curves , J. Alg. Geom., Volume 8, 1999, pp. 115-133, Arxiv
  • with Rahul Pandharipande: Stable maps and branch divisors , Compositio Mathematica, Volume 130, 2002, pp. 345-364. Arxiv
  • with Lothar Göttsche: Orbifold cohomology for global quotients , Duke Math J., Volume 117, 2003, pp. 197–227. Arxiv
  • with Lothar Göttsche, Luc Illusie , Steven Kleiman , Nitin Nitsure and Angelo Vistoli : Fundamental Algebraic Geometry: Grothendieck's FGA Explained , AMS 2006
  • with Göttsche: Riemann-Roch theorems and elliptic genus for virtually smooth Schemes , J. Geom. Top., Volume 14, 2010, pp. 83-115, Arxiv
  • with Alex Massarenti: On the rigidity of moduli of curves in arbitrary characteristic , Arxiv 2014

Web links

Individual evidence

  1. ↑ Barbara Fantechi in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Fantechi, Barbara
BRIEF DESCRIPTION Italian mathematician
DATE OF BIRTH 1966