Compactifying Moduli Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Compactifying Moduli Spaces write by Paul Hacking. This book was released on 2016-02-04. Compactifying Moduli Spaces available in PDF, EPUB and Kindle. This book focusses on a large class of objects in moduli theory and provides different perspectives from which compactifications of moduli spaces may be investigated. Three contributions give an insight on particular aspects of moduli problems. In the first of them, various ways to construct and compactify moduli spaces are presented. In the second, some questions on the boundary of moduli spaces of surfaces are addressed. Finally, the theory of stable quotients is explained, which yields meaningful compactifications of moduli spaces of maps. Both advanced graduate students and researchers in algebraic geometry will find this book a valuable read.
Compactifying Moduli Spaces for Abelian Varieties
Compactifying Moduli Spaces for Abelian Varieties - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Compactifying Moduli Spaces for Abelian Varieties write by Martin C. Olsson. This book was released on 2008-08-25. Compactifying Moduli Spaces for Abelian Varieties available in PDF, EPUB and Kindle. This volume presents the construction of canonical modular compactifications of moduli spaces for polarized Abelian varieties (possibly with level structure), building on the earlier work of Alexeev, Nakamura, and Namikawa. This provides a different approach to compactifying these spaces than the more classical approach using toroical embeddings, which are not canonical. There are two main new contributions in this monograph: (1) The introduction of logarithmic geometry as understood by Fontaine, Illusie, and Kato to the study of degenerating Abelian varieties; and (2) the construction of canonical compactifications for moduli spaces with higher degree polarizations based on stack-theoretic techniques and a study of the theta group.
On the Compactification of Moduli Spaces for Algebraic $K3$ Surfaces
On the Compactification of Moduli Spaces for Algebraic $K3$ Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook On the Compactification of Moduli Spaces for Algebraic $K3$ Surfaces write by Francesco Scattone. This book was released on 1987. On the Compactification of Moduli Spaces for Algebraic $K3$ Surfaces available in PDF, EPUB and Kindle. This paper is concerned with the problem of describing compact moduli spaces for algebraic [italic]K3 surfaces of given degree 2[italic]k.
Compact Moduli Spaces and Vector Bundles
Compact Moduli Spaces and Vector Bundles - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Compact Moduli Spaces and Vector Bundles write by Valery Alexeev. This book was released on 2012. Compact Moduli Spaces and Vector Bundles available in PDF, EPUB and Kindle. This book contains the proceedings of the conference on Compact Moduli and Vector Bundles, held from October 21-24, 2010, at the University of Georgia. This book is a mix of survey papers and original research articles on two related subjects: Compact Moduli spaces of algebraic varieties, including of higher-dimensional stable varieties and pairs, and Vector Bundles on such compact moduli spaces, including the conformal block bundles. These bundles originated in the 1970s in physics; the celebrated Verlinde formula computes their ranks. Among the surveys are those that examine compact moduli spaces of surfaces of general type and others that concern the GIT constructions of log canonical models of moduli of stable curves. The original research articles include, among others, papers on a formula for the Chern classes of conformal classes of conformal block bundles on the moduli spaces of stable curves, on Looijenga's conjectures, on algebraic and tropical Brill-Noether theory, on Green's conjecture, on rigid curves on moduli of curves, and on Steiner surfaces.
On the Compactification of Moduli Spaces for Algebraic K3
On the Compactification of Moduli Spaces for Algebraic K3 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook On the Compactification of Moduli Spaces for Algebraic K3 write by Francesco Scattone. This book was released on 1987. On the Compactification of Moduli Spaces for Algebraic K3 available in PDF, EPUB and Kindle.
