Chagrin
发表于 2025-3-25 05:18:01
Robert S. Sheldon,Satish R. RajIn this chapter we explain constructive methods for computing the cohomology of a sheaf on a projective variety. We also give a construction for the Beilinson monad, a tool for studying the sheaf from partial knowledge of its cohomology. Finally, we give some examples illustrating the use of the Beilinson monad.
Constant
发表于 2025-3-25 08:28:29
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emulsify
发表于 2025-3-25 14:40:52
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慢慢啃
发表于 2025-3-25 15:58:16
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integral
发表于 2025-3-25 21:52:35
Data Types, Functions, and ProgrammingIn this chapter we present an introduction to the structure of . commands and the writing of functions in the . language. For further details see the . manual distributed with the program .
Omnipotent
发表于 2025-3-26 00:32:35
Teaching the Geometry of SchemesThis chapter presents a collection of graduate level problems in algebraic geometry illustrating the power of . as an educational tool.
Accolade
发表于 2025-3-26 06:18:10
Monomial IdealsMonomial ideals form an important link between commutative algebra and combinatorics. In this chapter, we demonstrate how to implement algorithms in . for studying and using monomial ideals. We illustrate these methods with examples from combinatorics, integer programming, and algebraic geometry.
GIST
发表于 2025-3-26 10:44:03
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节省
发表于 2025-3-26 12:53:38
-modules and Cohomology of VarietiesIn this chapter we introduce the reader to some ideas from the world of differential operators. We show how to use these concepts in conjunction with . to obtain new information about polynomials and their algebraic varieties.
arboretum
发表于 2025-3-26 20:04:44
Computations in Algebraic Geometry with Macaulay 2978-3-662-04851-1Series ISSN 1431-1550