On linear projections of quadratic varieties
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- by Markus Brodmann and Euisung Park
- Proc. Amer. Math. Soc. 144 (2016), 2307-2314
- DOI: https://doi.org/10.1090/proc/12885
- Published electronically: October 14, 2015
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Abstract:
We study simple outer linear projections of projective varieties whose homogeneous vanishing ideal is defined by quadrics which satisfy the condition $K_2.$ We extend results on simple outer linear projections of rational normal scrolls.References
- Jeaman Ahn and Sijong Kwak, Graded mapping cone theorem, multisecants and syzygies, J. Algebra 331 (2011), 243–262. MR 2774656, DOI 10.1016/j.jalgebra.2010.07.030
- M. Brodmann and E. Park, On varieties of almost minimal degree I: secant loci of rational normal scrolls, J. Pure Appl. Algebra 214 (2010), no. 11, 2033–2043. MR 2645336, DOI 10.1016/j.jpaa.2010.02.009
- Markus Brodmann and Peter Schenzel, Arithmetic properties of projective varieties of almost minimal degree, J. Algebraic Geom. 16 (2007), no. 2, 347–400. MR 2274517, DOI 10.1090/S1056-3911-06-00442-5
- David Eisenbud, Mark Green, Klaus Hulek, and Sorin Popescu, Restricting linear syzygies: algebra and geometry, Compos. Math. 141 (2005), no. 6, 1460–1478. MR 2188445, DOI 10.1112/S0010437X05001776
- Euisung Park, On secant loci and simple linear projections of some projective varieties, math.AG/0808.2005 (unpublished)
- Peter Vermeire, Some results on secant varieties leading to a geometric flip construction, Compositio Math. 125 (2001), no. 3, 263–282. MR 1818982, DOI 10.1023/A:1002663915504
Bibliographic Information
- Markus Brodmann
- Affiliation: Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH – Zürich, Switzerland
- MR Author ID: 41830
- Email: brodmann@math.uzh.ch
- Euisung Park
- Affiliation: Department of Mathematics, Korea University, Anam-dong, Seongbuk-gu, Seoul 136-701, Republic of Korea
- Email: euisungpark@korea.ac.kr
- Received by editor(s): September 23, 2014
- Received by editor(s) in revised form: June 4, 2015, and June 30, 2015
- Published electronically: October 14, 2015
- Communicated by: Lev Borisov
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 2307-2314
- MSC (2010): Primary 14H45, 13D02
- DOI: https://doi.org/10.1090/proc/12885
- MathSciNet review: 3477048