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Helix theory and duality

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Author(s):
Victor do Valle Pretti
Total Authors: 1
Document type: Master's Dissertation
Press: Campinas, SP.
Institution: Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica
Defense date:
Examining board members:
Simone Marchesi; Fernando Eduardo Torres Orihuela; Renato Vidal da Silva Martins
Advisor: Simone Marchesi
Abstract

In this work we study Helix Theory, using as the main reference the article from A.L. Gorodentsev and S.A. Kuleshov, and also studied theorems concerning the duality using an article by Amnon Neeman. This work is based on the study of arbitrary triangulated categories and Verdier localization. To apply this results to Algebraic Geometry we needed to understand the categorie of Quasicoherent Sheaves and Coherent Sheaves over a scheme and also their respective derived categories (AU)

FAPESP's process: 14/25771-2 - Classical algebraic geometry and vector bundles
Grantee:Victor Do Valle Pretti
Support Opportunities: Scholarships in Brazil - Master