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Abstract: The systematic use of Koszul cohomology computations in algebraic geometry can be traced back to the foundational work of Mark Green in the s. Volume: Publication Month and Year: Copyright Year: Page Count: Cover Type: Softcover. Print ISBN Online ISBN Print ISSN: Online ISSN: Primary MSC: 14 ; 13 ; Applied Math? MAA Book? Electronic Media? Green and Voisin applied Koszul cohomology to a number of Hodge-theoretic problems, with remarkable success. More recently, Voisin achieved a breakthrough by proving Green's conjecture for general curves; soon afterwards, the Green-Lazarsfeld conjecture for general curves was proved as well.

This book is primarily concerned with applications of Koszul cohomology to algebraic geometry, with an emphasis on syzygies of complex projective curves.

Koszul Cohomology and Algebraic Geometry

The authors' main goal is to present Voisin's proof of the generic Green conjecture, and subsequent refinements. They discuss the geometric aspects of the theory and a number of concrete applications of Koszul cohomology to problems in algebraic geometry, including applications to Hodge theory and to the geometry of the moduli space of curves. It can best be viewed as a state-of-the-art review of a number of recent results and an encouragement for further research in this area. AMS Homepage. Join our email list. Sign up. Ordering on the AMS Bookstore is limited to individuals for personal use only.

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Abstract: The systematic use of Koszul cohomology computations in algebraic geometry can be traced back to the foundational work of Mark Green in the s. Volume: Publication Month and Year: Copyright Year: More recently, Voisin achieved a breakthrough by proving Green's conjecture for general curves; soon afterwards, the Green-Lazarsfeld conjecture for general curves was proved as well. This book is primarily concerned with applications of Koszul cohomology to algebraic geometry, with an emphasis on syzygies of complex projective curves.

Koszul Cohomology and Algebraic Geometry

The authors' main goal is to present Voisin's proof of the generic Green conjecture, and subsequent refinements. They discuss the geometric aspects of the theory and a number of concrete applications of Koszul cohomology to problems in algebraic geometry, including applications to Hodge theory and to the geometry of the moduli space of curves. It can best be viewed as a state-of-the-art review of a number of recent results and an encouragement for further research in this area.

Koszul Cohomology and Algebraic Geometry : Marian Aprodu :

AMS Homepage. Join our email list. Sign up. Ordering on the AMS Bookstore is limited to individuals for personal use only.

Introduction to Geometric Complexity Theory I

Koszul Cohomology and Algebraic Geometry Share this page. Advanced search. Abstract: The systematic use of Koszul cohomology computations in algebraic geometry can be traced back to the foundational work of Mark Green in the s.


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Volume: Publication Month and Year: Copyright Year: Page Count: