Jet schemes over auto-arc spaces and deformations of locally complete intersection varieties
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Publication:6612169
DOI10.1016/J.JALGEBRA.2024.06.029MaRDI QIDQ6612169
Publication date: 30 September 2024
Published in: Journal of Algebra (Search for Journal in Brave)
Arithmetic problems in algebraic geometry; Diophantine geometry (14Gxx) Local theory in algebraic geometry (14Bxx) Birational geometry (14Exx)
Cites Work
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- On the auto Igusa-zeta function of an algebraic curve
- The use of ultraproducts in commutative algebra
- Germs of arcs on singular algebraic varieties and motivic integration
- Motivic integration on smooth rigid varieties and invariants of degenerations
- Deforming spaces of \(m\)-jets of hypersurfaces singularities
- Arc structure of singularities
- Using semicontinuity for standard bases computations
- Deformation Theory
- Limits of log canonical thresholds
- Existentially closed models of the theory of artinian local rings
- Singularities of pairs via jet schemes
- The auto Igusa-zeta function of a plane curve singularity is rational
- What is motivic measure?
- Formal deformations of algebraic spaces and generalizations of the motivic Igusa-zeta function
- The dimension of jet schemes of singular varieties
- Jet schemes of locally complete intersection canonical singularities.
- Multiplicity structure of the arc space of a fat point
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