The Siegel modular variety of degree two and level four. Memoirs of the American Mathematical Society; 631.

Lee, Ronnie; Weintraub, Steven H.; Hoffman, Jerome William

ISBN 10: 0821806203 / ISBN 13: 9780821806203

Verlag: Providence, 1998

Beschreibung

Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-00833 9780821806203 Sprache: Englisch Gewicht in Gramm: 150.

Bestandsnummer des Verkäufers 2484671

Bibliografische Details

• Titel: The Siegel modular variety of degree two and level four. Memoirs of the American Mathematical Society; 631.
• Verlag: Providence
• Erscheinungsjahr: 1998
• Sprache: Englisch
• ISBN-10: 0821806203
• ISBN-13: 9780821806203
• Einband: Softcover
• Gewicht: 150 Gramm
• Verkäuferkataloge:
  • SA MATHEMATIK

Über diesen Titel

Inhaltsangabe

The Siegel Modular Variety of Degree Two and Level Four is by Ronnie Lee and Steven H. Weintraub: Let $\mathbf M_n$ denote the quotient of the degree two Siegel space by the principal congruence subgroup of level $n$ of $Sp_4(\mathbb Z)$. $\mathbfM_n$ is the moduli space of principally polarized abelian surfaces with a level $n$ structure and has a compactification $\mathbfM^*_n$ first constructed by Igusa. $\mathbfM^*_n$ is an almost non-singular (non-singular for $n> 1$) complex three-dimensional projective variety (of general type, for $n> 3$). The authors analyze the Hodge structure of $\mathbfM^*_4$, completely determining the Hodge numbers $h^{p,q} = \dim H^{p,q}(\mathbfM^*_4)$. Doing so relies on the understanding of $\mathbfM^*_2$ and exploitation of the regular branched covering $\mathbfM^*_4 \rightarrow \mathbfM^*_2$.""Cohomology of the Siegel Modular Group of Degree Two and Level Four"" is by J. William Hoffman and Steven H. Weintraub. The authors compute the cohomology of the principal congruence subgroup $\Gamma_2(4) \subset S{_p4} (\mathbb Z)$ consisting of matrices $\gamma \equiv \mathbf 1$ mod 4. This is done by computing the cohomology of the moduli space $\mathbfM_4$. The mixed Hodge structure on this cohomology is determined, as well as the intersection cohomology of the Satake compactification of $\mathbfM_4$.