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Algebraic Geometry: Moduli Spaces, Birational Geometry and Derived Aspects
Oberwolfach Reports, 2021The talks at the workshop and the research done during the week focused on aspects of algebraic geometry in the broad sense. Special emphasis was put on hyperkähler manifolds and derived categories.
Christopher D. Hacon +3 more
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Algebraic Geometry: Birational Classification, Derived Categories, and Moduli Spaces
Oberwolfach Reports, 2018The workshop covered a number of active areas of research in algebraic geometry with a focus on derived categories, moduli spaces (of varieties and sheaves) and birational geometry (often in positive characteristic) and their interactions. Special emphasis was put on hyperkähler manifolds and singularity theory.
Christopher D. Hacon +3 more
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Algebraic Geometry: Moduli Spaces, Birational Geometry and Derived Aspects
2020Workshop ...
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Locally Nilpotent Derivations and the Cancellation Problem in Affine Algebraic Geometry [PDF]
, 2011 Let K be a field of characteristic zero and let R [n] denote the polynomial ring in n variables over a ring R for any n ∈ N , n > 0. We present some basic theory for the study of locally nilpotent derivations as an effective tool in algebraic geometry. Using this tool, we examine the Cancellation Problem in affine algebraic geometry, which asks: Let
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Algebraic Geometry: Moduli Spaces, Birational Geometry and Derived Aspects
2022The workshop covered recent developments in algebraic geometry in a broad sense with a special emphasis on various moduli spaces. Problems related to mirror symmetry phenomena were discussed in a number of talks as well as singularity theory in the context of the MMP in positive characteristic.
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Programmable interactions and emergent geometry in an array of atom clouds
Nature, 2021Avikar Periwal +2 more
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Study of Virtual Reality Immersive Technology Enhanced Mathematics Geometry Learning
Frontiers in Psychology, 2022Yu-sheng Su, Chin-feng Lai
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