Dissertation > Excellent graduate degree dissertation topics show

Scheme and Cohomology

Author: YangSen
Tutor: LiuKeFeng
School: Zhejiang University
Course: Basic mathematics
Keywords: scheme cohomology curve genus divisor invertible sheaf linear system exact sequence Riemann-Roch Riemann-Hurwitz
CLC: O187
Type: Master's thesis
Year: 2008
Downloads: 19
Quote: 0
Read: Download Dissertation

Abstract


we introduce the basic definitions and properties of scheme and cohomology, then apply the language of scheme and cohomology to describe the curves from genus 0 to genus 6. Firstly, we give the basic definitions of scheme and some properties which we usually use. Secondly, we describe the process of computing the cohomology group of projective space which is enough for most cases. We also introduce divisor and invertible sheaf which are essential for the following stud of curves. Finally, we apply the techniques developed above to study curves, focusing on curves from genus 0 to genus 6.

Related Dissertations

  1. An Empirical Study of Contemporary Compehensive Urban Design in China,TU984
  2. The Study and Design of High Availability Monitoring Subsystem for Fault Tolerant Computing Systems,TP311.52
  3. Computing Minimum Distance between Curves/Surfaces Based on PSO Algorithm,O182
  4. Research on the Laws of Nitrogen and Phosphorus Loss and Control Scheme in Eryuan Rural,X712
  5. The Research of Microsatellite Markers and the Eatablishment of Growth and Development Model in Xianan Cattle and Pinan Cattle,S823
  6. The Study on R-M Instability of the Material Interface in Gas-water Compressible Flow,O359.1
  7. Research on Detecting Optical Fiber Geometric Parameter Based on Machine Vision,TN253
  8. Study on Monitoring and Early Warning for Heavy Metal in Textiles,TS107
  9. Studies on Genetic Diversity and Phylogenetic Relationship of Dendranthema and Its Related Genera,S682.11
  10. Preparationandapplication of the Strong Alkali Anion Exchange Fiber Based the Polyethylene,TQ342.84
  11. Research on Isolation and Polyphasic Taxonomy of a Phenol Tolerant Novel Species-Comamonas Zonglianii BF-3~T,X172
  12. Study on the Screening and Properties of Degradation Coking Waste Water Advantage Strains,X172
  13. Henan Jiyuan Taihang Long anal frog (Feirana taihangnicus) bone age population studies,Q958
  14. Automotive CO 2 emissions Technology and Economic Assessment,F426.471
  15. Group Events Legal Regulation,D631.4
  16. Logistics Park Location Planning and Construction Plan,F259.2
  17. The Simulation Technology Study of Marine Gas Turbine Based on Modular Modeling,U674.703
  18. Mechanical Property Analysis on Concrete Short Columns with Strengthened Style Hoop,TU375.1
  19. Stability of the SRAM Cells for Deep Sub-micron Technologies,TP333
  20. Automotive the starter performance of high-precision high stability of the test method and application,U467
  21. Research and Design of a High-Performance Scalable Public Key Cryptographic Coprocessor,TN918.1

CLC: > Mathematical sciences and chemical > Mathematics > Geometry, topology > Algebraic Geometry
© 2012 www.DissertationTopic.Net  Mobile