Quadruple covers and Gorenstein stable surfaces with K^2=1 and χ=2

In this thesis we study Gorenstein stable surfaces with K 2X = 1 and \chi(\ko_X) = 2. These arise as quadruple covers of the projective plane and we give the precise relation between the structure of the cover and the canonical ring. We then use these results to study some strata of the moduli sp...

पूर्ण विवरण

में बचाया:
ग्रंथसूची विवरण
मुख्य लेखक: Do, Anh Thi
अन्य लेखक: Rollenske, Sönke (Prof. Dr.) (शोध सलाहकार)
स्वरूप: Dissertation
भाषा:अंग्रेज़ी
प्रकाशित: Philipps-Universität Marburg 2021
विषय:
ऑनलाइन पहुंच:पीडीएफ पूर्ण पाठ
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विवरण
सारांश:In this thesis we study Gorenstein stable surfaces with K 2X = 1 and \chi(\ko_X) = 2. These arise as quadruple covers of the projective plane and we give the precise relation between the structure of the cover and the canonical ring. We then use these results to study some strata of the moduli space \overline{\mathfrak{M}_1,2.
भौतिक वर्णन:85 Seiten
डिजिटल ऑब्जेक्ट पहचानकर्ता:10.17192/z2021.0299