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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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The main aims of this seminar will be to go over the classification of surfaces (Enriques-Castelnuovo for characteristic zero, Bombieri-Mumford for characteristic p), while working out plenty of examples, and treating their geometry and arithmetic as far as possible.
Author(s):
Tag(s):
- mathematics
- near equivalence
- algebraic equivalence
- numerical equivalence
- birational
- rational
- maps
- surfaces
- ruled surfaces
- rational surfaces
- linear systems
- castelnuovo's criterion
- rationality
- picard
- albanese
- classification
- k3
- elliptic
- kodaira dimension
- bielliptic
File: 18-727-spring-2008.zip
This OER is part of OCW: Topics in Algebraic Geometry: Algebraic Surfaces
Published under: /Download Course Materials
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Inherited Tag(s):
- mathematics
- near equivalence
- algebraic equivalence
- numerical equivalence
- birational
- rational
- maps
- surfaces
- ruled surfaces
- rational surfaces
- linear systems
- castelnuovo's criterion
- rationality
- picard
- albanese
- classification
- k3
- elliptic
- kodaira dimension
- bielliptic
File: hw1.pdf
This OER is part of OCW: Topics in Algebraic Geometry: Algebraic Surfaces
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
- mathematics
- near equivalence
- algebraic equivalence
- numerical equivalence
- birational
- rational
- maps
- surfaces
- ruled surfaces
- rational surfaces
- linear systems
- castelnuovo's criterion
- rationality
- picard
- albanese
- classification
- k3
- elliptic
- kodaira dimension
- bielliptic
File: hw2.pdf
This OER is part of OCW: Topics in Algebraic Geometry: Algebraic Surfaces
Published under: /Assignments
Share in:
OCW Authors:
Inherited Tag(s):
- mathematics
- near equivalence
- algebraic equivalence
- numerical equivalence
- birational
- rational
- maps
- surfaces
- ruled surfaces
- rational surfaces
- linear systems
- castelnuovo's criterion
- rationality
- picard
- albanese
- classification
- k3
- elliptic
- kodaira dimension
- bielliptic
File: lect19.pdf
This OER is part of OCW: Topics in Algebraic Geometry: Algebraic Surfaces
Published under: /Lecture Notes
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OCW Authors:
Inherited Tag(s):
- mathematics
- near equivalence
- algebraic equivalence
- numerical equivalence
- birational
- rational
- maps
- surfaces
- ruled surfaces
- rational surfaces
- linear systems
- castelnuovo's criterion
- rationality
- picard
- albanese
- classification
- k3
- elliptic
- kodaira dimension
- bielliptic
File: lect13.pdf
This OER is part of OCW: Topics in Algebraic Geometry: Algebraic Surfaces
Published under: /Lecture Notes
Share in:
OCW Authors:
Inherited Tag(s):
- mathematics
- near equivalence
- algebraic equivalence
- numerical equivalence
- birational
- rational
- maps
- surfaces
- ruled surfaces
- rational surfaces
- linear systems
- castelnuovo's criterion
- rationality
- picard
- albanese
- classification
- k3
- elliptic
- kodaira dimension
- bielliptic
File: lect1.pdf
This OER is part of OCW: Topics in Algebraic Geometry: Algebraic Surfaces
Published under: /Lecture Notes
Share in:
OCW Authors:
Inherited Tag(s):
- mathematics
- near equivalence
- algebraic equivalence
- numerical equivalence
- birational
- rational
- maps
- surfaces
- ruled surfaces
- rational surfaces
- linear systems
- castelnuovo's criterion
- rationality
- picard
- albanese
- classification
- k3
- elliptic
- kodaira dimension
- bielliptic
File: lect9.pdf
This OER is part of OCW: Topics in Algebraic Geometry: Algebraic Surfaces
Published under: /Lecture Notes
Share in:
OCW Authors:
Inherited Tag(s):
- mathematics
- near equivalence
- algebraic equivalence
- numerical equivalence
- birational
- rational
- maps
- surfaces
- ruled surfaces
- rational surfaces
- linear systems
- castelnuovo's criterion
- rationality
- picard
- albanese
- classification
- k3
- elliptic
- kodaira dimension
- bielliptic
File: lect2.pdf
This OER is part of OCW: Topics in Algebraic Geometry: Algebraic Surfaces
Published under: /Lecture Notes
Share in:
OCW Authors:
Inherited Tag(s):
- mathematics
- near equivalence
- algebraic equivalence
- numerical equivalence
- birational
- rational
- maps
- surfaces
- ruled surfaces
- rational surfaces
- linear systems
- castelnuovo's criterion
- rationality
- picard
- albanese
- classification
- k3
- elliptic
- kodaira dimension
- bielliptic
File: lect3.pdf
This OER is part of OCW: Topics in Algebraic Geometry: Algebraic Surfaces
Published under: /Lecture Notes
Share in:
OCW Authors:
Inherited Tag(s):
- mathematics
- near equivalence
- algebraic equivalence
- numerical equivalence
- birational
- rational
- maps
- surfaces
- ruled surfaces
- rational surfaces
- linear systems
- castelnuovo's criterion
- rationality
- picard
- albanese
- classification
- k3
- elliptic
- kodaira dimension
- bielliptic
File: lect7.pdf
This OER is part of OCW: Topics in Algebraic Geometry: Algebraic Surfaces
Published under: /Lecture Notes
Share in:
OCW Authors:
Inherited Tag(s):
- mathematics
- near equivalence
- algebraic equivalence
- numerical equivalence
- birational
- rational
- maps
- surfaces
- ruled surfaces
- rational surfaces
- linear systems
- castelnuovo's criterion
- rationality
- picard
- albanese
- classification
- k3
- elliptic
- kodaira dimension
- bielliptic
File: lect5.pdf
This OER is part of OCW: Topics in Algebraic Geometry: Algebraic Surfaces
Published under: /Lecture Notes
Share in:
OCW Authors:
Inherited Tag(s):
- mathematics
- near equivalence
- algebraic equivalence
- numerical equivalence
- birational
- rational
- maps
- surfaces
- ruled surfaces
- rational surfaces
- linear systems
- castelnuovo's criterion
- rationality
- picard
- albanese
- classification
- k3
- elliptic
- kodaira dimension
- bielliptic
File: lect22.pdf
This OER is part of OCW: Topics in Algebraic Geometry: Algebraic Surfaces
Published under: /Lecture Notes
Share in:
OCW Authors:
Inherited Tag(s):
- mathematics
- near equivalence
- algebraic equivalence
- numerical equivalence
- birational
- rational
- maps
- surfaces
- ruled surfaces
- rational surfaces
- linear systems
- castelnuovo's criterion
- rationality
- picard
- albanese
- classification
- k3
- elliptic
- kodaira dimension
- bielliptic
File: lect14.pdf
This OER is part of OCW: Topics in Algebraic Geometry: Algebraic Surfaces
Published under: /Lecture Notes
Share in:
OCW Authors:
Inherited Tag(s):
- mathematics
- near equivalence
- algebraic equivalence
- numerical equivalence
- birational
- rational
- maps
- surfaces
- ruled surfaces
- rational surfaces
- linear systems
- castelnuovo's criterion
- rationality
- picard
- albanese
- classification
- k3
- elliptic
- kodaira dimension
- bielliptic
File: lect6.pdf
This OER is part of OCW: Topics in Algebraic Geometry: Algebraic Surfaces
Published under: /Lecture Notes
Share in:
OCW Authors:
Inherited Tag(s):
- mathematics
- near equivalence
- algebraic equivalence
- numerical equivalence
- birational
- rational
- maps
- surfaces
- ruled surfaces
- rational surfaces
- linear systems
- castelnuovo's criterion
- rationality
- picard
- albanese
- classification
- k3
- elliptic
- kodaira dimension
- bielliptic
File: lect18.pdf
This OER is part of OCW: Topics in Algebraic Geometry: Algebraic Surfaces
Published under: /Lecture Notes
Share in:
OCW Authors:
Inherited Tag(s):
- mathematics
- near equivalence
- algebraic equivalence
- numerical equivalence
- birational
- rational
- maps
- surfaces
- ruled surfaces
- rational surfaces
- linear systems
- castelnuovo's criterion
- rationality
- picard
- albanese
- classification
- k3
- elliptic
- kodaira dimension
- bielliptic
26 results found.
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