Paul Hacking, Radu Laza, Dragos Oprea, Gilberto Bini, Martí's Compactifying Moduli Spaces PDF

By Paul Hacking, Radu Laza, Dragos Oprea, Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari

ISBN-10: 3034809204

ISBN-13: 9783034809207

ISBN-10: 3034809212

ISBN-13: 9783034809214

This publication focusses on a wide classification of gadgets in moduli concept and offers diversified views from which compactifications of moduli areas can be investigated.

Three contributions provide an perception on specific features of moduli difficulties. within the first of them, a variety of how one can build and compactify moduli areas are offered. within the moment, a few questions about the boundary of moduli areas of surfaces are addressed. ultimately, the speculation of solid quotients is defined, which yields significant compactifications of moduli areas of maps.

either complex graduate scholars and researchers in algebraic geometry will locate this ebook a worthwhile read.

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S´eminaire Bourbaki Exp. No. 1040 2010/2011. Expos´es 1027–1042. [70] D. Hyeon and Y. Lee. Log minimal model program for the moduli space of stable curves of genus three. Math. Res. , 17(4):625–636, 2010. [71] K. Kato and S. Usui. Classifying Spaces of Degenerating Polarized Hodge Structures, volume 169 of Annals of Mathematics Studies. Princeton University Press, Princeton, NJ, 2009. 36 Bibliography [72] S. Kebekus. Differential forms on singular spaces, the minimal model program, and hyperbolicity of moduli stacks.

S. Tai. Smooth Compactifications of Locally Symmetric Varieties. Cambridge Mathematical Library. Cambridge University Press, Cambridge, second edition, 2010. With the collaboration of Peter Scholze. [17] D. Avritzer and R. Miranda. Stability of pencils of quadrics in P4 . Bol. Soc. Mat. Mexicana (3), 5(2):281–300, 1999. L. Baily, Jr. and A. Borel. Compactification of arithmetic quotients of bounded symmetric domains. Ann. of Math. (2), 84:442–528, 1966. [19] O. Benoist. Quelques espaces de modules d’intersections compl`etes lisses qui sont quasi-projectifs.

169(3):519–567, 2007. A. Gritsenko, K. K. Sankaran. Moduli of K3 surfaces and irreducible symplectic manifolds. In Handbook of Moduli I, volume 24 of Advanced Lectures in Mathematics, pages 459–526. Int. Press, Somerville, MA, 2013. [60] P. Hacking. Compact moduli of plane curves. Duke Math. , 124(2):213–257, 2004. [61] P. Hacking, S. Keel, and J. Tevelev. Stable pair, tropical, and log canonical compactifications of moduli spaces of del Pezzo surfaces. Invent. , 178(1):173–227, 2009. D. Hacon, J.

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Compactifying Moduli Spaces by Paul Hacking, Radu Laza, Dragos Oprea, Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari


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Categories: Algebraic Geometry