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An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Space

Martin Schlichenmaier

Second Edition.

Resumen/Descripción – provisto por la editorial

No disponible.

Palabras clave – provistas por la editorial

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Disponibilidad
Institución detectada Año de publicación Navegá Descargá Solicitá
No detectada 2007 SpringerLink

Información

Tipo de recurso:

libros

ISBN impreso

978-3-540-71174-2

ISBN electrónico

978-3-540-71175-9

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Información sobre derechos de publicación

© Springer-Verlag Berlin Heidelberg 2007

Cobertura temática

Tabla de contenidos

Manifolds

Martin Schlichenmaier

We study abstract interpretations of a fixpoint protoderivation semantics defining the maximal derivations of a transitional semantics of context-free grammars akin to pushdown automata. The result is a hierarchy of bottom-up or top-down semantics refining the classical equational and derivational language semantics and including Knuth grammar problem, classical grammar flow analysis algorithms, and parsing algorithms.

Pp. 7-15

Topology of Riemann Surfaces

Martin Schlichenmaier

We study abstract interpretations of a fixpoint protoderivation semantics defining the maximal derivations of a transitional semantics of context-free grammars akin to pushdown automata. The result is a hierarchy of bottom-up or top-down semantics refining the classical equational and derivational language semantics and including Knuth grammar problem, classical grammar flow analysis algorithms, and parsing algorithms.

Pp. 17-30

Analytic Structure

Martin Schlichenmaier

We study abstract interpretations of a fixpoint protoderivation semantics defining the maximal derivations of a transitional semantics of context-free grammars akin to pushdown automata. The result is a hierarchy of bottom-up or top-down semantics refining the classical equational and derivational language semantics and including Knuth grammar problem, classical grammar flow analysis algorithms, and parsing algorithms.

Pp. 33-41

Diffierentials and Integration

Martin Schlichenmaier

We study abstract interpretations of a fixpoint protoderivation semantics defining the maximal derivations of a transitional semantics of context-free grammars akin to pushdown automata. The result is a hierarchy of bottom-up or top-down semantics refining the classical equational and derivational language semantics and including Knuth grammar problem, classical grammar flow analysis algorithms, and parsing algorithms.

Pp. 43-52

Tori and Jacobians

Martin Schlichenmaier

We study abstract interpretations of a fixpoint protoderivation semantics defining the maximal derivations of a transitional semantics of context-free grammars akin to pushdown automata. The result is a hierarchy of bottom-up or top-down semantics refining the classical equational and derivational language semantics and including Knuth grammar problem, classical grammar flow analysis algorithms, and parsing algorithms.

Pp. 53-60

Projective Varieties

Martin Schlichenmaier

We study abstract interpretations of a fixpoint protoderivation semantics defining the maximal derivations of a transitional semantics of context-free grammars akin to pushdown automata. The result is a hierarchy of bottom-up or top-down semantics refining the classical equational and derivational language semantics and including Knuth grammar problem, classical grammar flow analysis algorithms, and parsing algorithms.

Pp. 61-70

Moduli Spaces of Curves

Martin Schlichenmaier

We study abstract interpretations of a fixpoint protoderivation semantics defining the maximal derivations of a transitional semantics of context-free grammars akin to pushdown automata. The result is a hierarchy of bottom-up or top-down semantics refining the classical equational and derivational language semantics and including Knuth grammar problem, classical grammar flow analysis algorithms, and parsing algorithms.

Pp. 71-86

Vector Bundles, Sheaves and Cohomology

Martin Schlichenmaier

We study abstract interpretations of a fixpoint protoderivation semantics defining the maximal derivations of a transitional semantics of context-free grammars akin to pushdown automata. The result is a hierarchy of bottom-up or top-down semantics refining the classical equational and derivational language semantics and including Knuth grammar problem, classical grammar flow analysis algorithms, and parsing algorithms.

Pp. 87-101

The Theorem of Riemann–Roch for Line Bundles

Martin Schlichenmaier

We study abstract interpretations of a fixpoint protoderivation semantics defining the maximal derivations of a transitional semantics of context-free grammars akin to pushdown automata. The result is a hierarchy of bottom-up or top-down semantics refining the classical equational and derivational language semantics and including Knuth grammar problem, classical grammar flow analysis algorithms, and parsing algorithms.

Pp. 103-118

The Mumford Isomorphism on the Moduli Space

Martin Schlichenmaier

We study abstract interpretations of a fixpoint protoderivation semantics defining the maximal derivations of a transitional semantics of context-free grammars akin to pushdown automata. The result is a hierarchy of bottom-up or top-down semantics refining the classical equational and derivational language semantics and including Knuth grammar problem, classical grammar flow analysis algorithms, and parsing algorithms.

Pp. 119-132