On Zanello’s lower bound for generic quotients of level algebras
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- by Jonas Söderberg PDF
- Proc. Amer. Math. Soc. 142 (2014), 4025-4028 Request permission
Abstract:
We give a shorter and more straightforward proof of a theorem of Zanello on lower bounds for Hilbert functions of generic level quotients of artinian level algebras.References
- Anthony Iarrobino, Hilbert functions of Gorenstein algebras associated to a pencil of forms, Projective varieties with unexpected properties, Walter de Gruyter, Berlin, 2005, pp. 273–286. MR 2202259
- Dan Laksov, On Zanello’s lower bound for level algebras, Proc. Amer. Math. Soc. 141 (2013), no. 5, 1519–1527. MR 3020839, DOI 10.1090/S0002-9939-2012-11427-3
- Fabrizio Zanello, Partial derivatives of a generic subspace of a vector space of forms: quotients of level algebras of arbitrary type, Trans. Amer. Math. Soc. 359 (2007), no. 6, 2675–2686. MR 2286051, DOI 10.1090/S0002-9947-07-04015-9
Additional Information
- Jonas Söderberg
- Affiliation: Department of Mathematics, KTH, S-100 44 Stockholm, Sweden
- Address at time of publication: Baggensgatan 23, 11131 Stockholm, Sweden
- Email: jonassod@gmail.com
- Received by editor(s): May 29, 2011
- Received by editor(s) in revised form: September 2, 2012
- Published electronically: August 22, 2014
- Communicated by: Irena Peeva
- © Copyright 2014 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 142 (2014), 4025-4028
- MSC (2010): Primary 13A02
- DOI: https://doi.org/10.1090/S0002-9939-2014-12004-1
- MathSciNet review: 3266974