Quantization of line bundles on lagrangian subvarieties

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• 作者：Vladimir Baranovsky ; Victor Ginzburg ; Dmitry Kaledin…
• 关键词：53D55 ; 14D21
• 刊名：Selecta Mathematica, New Series
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：22
• 期：1
• 页码：1-25
• 全文大小：610 KB
• 参考文献：1.Beilinson, A., Bernstein, J.: A proof of Jantzen conjectures. I. M. Gelfand Seminar, Adv. Soviet Math., 16(Part 1), 1–50, Amer. Math. Soc., Providence, RI (1993)
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• 作者单位：Vladimir Baranovsky (1)
  Victor Ginzburg (2)
  Dmitry Kaledin (3)
  Jeremy Pecharich (4)
  
  1. Department of Mathematics, University of California at Irvine, 340 Rowland Hall, Irvine, CA, 92617, USA
  2. Department of Mathematics, University of Chicago, Chicago, IL, 60637, USA
  3. Algebraic Geometry Section, Steklov Mathematical Institute, Gubkina, 8, Moscow, 119991, Russia
  4. Department of Mathematics, Pomona College, 640 North College Avenue, Claremont, CA, 91711, USA
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Birkh盲user Basel
• ISSN：1420-9020

文摘

We apply the technique of formal geometry to give a necessary and sufficient condition for a line bundle supported on a smooth Lagrangian subvariety to deform to a sheaf of modules over a fixed deformation quantization of the structure sheaf of an algebraic symplectic variety. Mathematics Subject Classification 53D55 14D21