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Titlebook: Algebra, Arithmetic and Geometry with Applications; Papers from Shreeram Chris Christensen,Avinash Sathaye,Chandrajit Bajaj Book 2004 Sprin

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Debating Business School LegitimacySymplectic groups are characterized by their subdegrees. Symplectic equations are recognized by symplectic forms. Odd dimensional orthogonal groups in characteristic two are recognized by modified vectorial derivatives. Orbitcounting lemma and its consequences are reviewed.
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Debating Business School LegitimacyWe study the effect of the toric modifications, described e.g. in [13], on a certain class of complete intersection toric varieties. The construction is based on the notion of Newton polyhedron.
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Thoughts on Symplectic Groups and Symplectic Equations,Symplectic groups are characterized by their subdegrees. Symplectic equations are recognized by symplectic forms. Odd dimensional orthogonal groups in characteristic two are recognized by modified vectorial derivatives. Orbitcounting lemma and its consequences are reviewed.
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Bounding Singular Surfaces of General Type,We provide simpler proofs of several boundedness theorems, contained in in articles [2], [3], for log surfaces of general type with semi log canonical singularities. At the same time, we make these proofs effective, with explicit upper bounds.
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