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On the Strict Endoscopic Part of Modular Siegel Threefolds

On the Strict Endoscopic Part of Modular Siegel Threefolds

          
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About the Book

In this book, we study the non-holomorphic strict ndoscopic parts of inner cohomology spaces of a modular Siegel threefold respect to local systems. First we show that there is a non-zero subspace of the strict endoscopic part such that it is constructed by global theta lift of automorphic froms of a pair of genus one cuspidal forms. Secondly, we present an explicit analytic calculation of levels of lifted forms into GSp(4), based on the paramodular representations theory for GSp(4;F). Finally, we prove the conjecture, by C. Faber and G. van der Geer, that gives a description of the strict endoscopic part for Betti cohomology and (real) Hodge structures in the category of mixed Hodge structures, in which the modular Siegel threefold has level structure one.


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Product Details
  • ISBN-13: 9783639666496
  • Publisher: Scholars' Press
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 236 gr
  • ISBN-10: 3639666496
  • Publisher Date: 14 Oct 2014
  • Height: 229 mm
  • No of Pages: 156
  • Spine Width: 9 mm
  • Width: 152 mm


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