Quasi projective Moduli for Polarized Manifolds is popular PDF and ePub book, written by Eckart Viehweg in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Quasi projective Moduli for Polarized Manifolds can be Read Online from any device for your convenience.
Quasi projective Moduli for Polarized Manifolds Book PDF Summary
The concept of moduli goes back to B. Riemann, who shows in [68] that the isomorphism class of a Riemann surface of genus 9 ~ 2 depends on 3g - 3 parameters, which he proposes to name "moduli". A precise formulation of global moduli problems in algebraic geometry, the definition of moduli schemes or of algebraic moduli spaces for curves and for certain higher dimensional manifolds have only been given recently (A. Grothendieck, D. Mumford, see [59]), as well as solutions in some cases. It is the aim of this monograph to present methods which allow over a field of characteristic zero to construct certain moduli schemes together with an ample sheaf. Our main source of inspiration is D. Mumford's "Geometric In variant Theory". We will recall the necessary tools from his book [59] and prove the "Hilbert-Mumford Criterion" and some modified version for the stability of points under group actions. As in [78], a careful study of positivity proper ties of direct image sheaves allows to use this criterion to construct moduli as quasi-projective schemes for canonically polarized manifolds and for polarized manifolds with a semi-ample canonical sheaf.
Detail Book of Quasi projective Moduli for Polarized Manifolds PDF
- Author : Eckart Viehweg
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783642797453
- Genre : Mathematics
- Total Page : 329 pages
- Language : English
- PDF File Size : 12,5 Mb
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