Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Calculating discriminants by higher direct images
HTML articles powered by AMS MathViewer

by Jerzy Weyman PDF
Trans. Amer. Math. Soc. 343 (1994), 367-389 Request permission

Abstract:

The author uses the homological algebra to construct for any line bundle $\mathcal {L}$ on a nonsingular projective variety X the complex $\mathbb {F}(\mathcal {L})$ whose determinant is equal to the equation of the dual variety ${X^{\text {V}}}$. This generalizes the Cayley-Koszul complexes defined by Gelfand, Kapranov and Zelevinski. The formulas for the codimension and degree of ${X^{\text {V}}}$ in terms of complexes $\mathbb {F}(\mathcal {L})$ are given. In the second part of the article the general technique is applied to classical discriminants and hyperdeterminants.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 14M12, 14F10
  • Retrieve articles in all journals with MSC: 14M12, 14F10
Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 343 (1994), 367-389
  • MSC: Primary 14M12; Secondary 14F10
  • DOI: https://doi.org/10.1090/S0002-9947-1994-1184118-6
  • MathSciNet review: 1184118