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Maximal minors and linear powers
-
Winfried Bruns
,
Aldo Conca
Published/Copyright:
May 4, 2013
Abstract
An ideal I in a polynomial ring S has linear powers if all the powers Ik of I have a linear free resolution. We show that the ideal of maximal minors of a sufficiently general matrix with linear entries has linear powers. The required genericity is expressed in terms of the heights of the ideals of lower order minors. In particular we prove that every rational normal scroll has linear powers.
Funding source: 2011-12 Vigoni
Award Identifier / Grant number: “Commutative algebra and combinatorics”
Received: 2012-2-29
Revised: 2013-3-5
Published Online: 2013-5-4
Published in Print: 2015-5-1
© 2015 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes
- Maximal minors and linear powers
- Asymptotics of random Betti tables
- Finite Weyl groupoids
- Bogomolov–Sommese vanishing on log canonical pairs
- A uniqueness theorem for Frobenius manifolds and Gromov–Witten theory for orbifold projective lines
- From algebraic cobordism to motivic cohomology
- Transitive actions of locally compact groups on locally contractible spaces
- Erratum to Transitive actions of locally compact groups on locally contractible spaces (J. reine angew. Math. 702 (2015), 227–243)
