Asymptotic syzygies of secant varieties of curves期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Asymptotic syzygies of secant varieties of curves

Affiliation:	Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, IL, 60607, United States of America;Department of Algebra, Faculty of Mathematics and Physics, Charles University in Prague, Sokolovská 83, 186 75 Praha, Czech Republic;Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John''s, NL A1C 5S7, Canada;Department of Mathematics, IISER Mohali, Knowledge City, Sector 81, Manauli PO, SAS Nagar, Punjab, 140306, India;Department of Mathematics, Indian Institute of Technology, Bombay, Powai, Mumbai-400 076, India;Department of Mathematics, Southern University of Science and Technology, Shenzhen, Guangdong 518055, China

Abstract:	We prove that the minimal free resolution of the secant variety of a curve is asymptotically pure. As a corollary, we show that the Betti numbers of converge to a normal distribution.

Keywords:	Asymptotic syzygies Secant variety Boij-Söderberg theory Asymptotic purity
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