On Chow stability for algebraic curves
 
 
Description:  In the last decades there have been introduced different concepts of stability for proyective varieties. In this talk we recall the Chow stability introduced by Mumford for projective varieties, and we prove a natural and intrinsic criterion of the Chow stability for irreducible smooth curves, such that if the restriction T\mathbb{P}n of the tangent bundle of \mathbb{P}n to C is stable then C\subset\mathbb{P}n is Chow stable. We apply this criterion to describe a smooth open set of the irreducible component of the Hilbert Scheme of \mathbb{P}n containing the generic smooth Chow-stable curve of genus g and degree d>g+n-\frac{g}{n+1}.
Date:  2014-04-09
Start Time:   14:30
Speaker:  Hugo Torres Lopez (CIMAT, Mexico)
Institution:  CIMAT: México
Place:  Room 2.4 DMat
Research Groups: -Algebra and Combinatorics
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