New invariants extracted from the topology of complexifications of real algebraic sets classify algebraic vector bundles over sphere products and obstruct weak algebraic approximation, disproving Kucharz-Kurdyka conjecture.
On Homology of Real Algebraic Varieties
7 Pith papers cite this work. Polarity classification is still indexing.
7
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
years
2026 7roles
background 1polarities
background 1representative citing papers
Develops Hamilton-Jacobi theory for non-conservative classical field theories in the k-contact framework, with z-independent and z-dependent approaches, affine/quadratic Hamiltonian cases, and recovery of the k=1 contact theory.
A model-free diffusion test for discrete time series that uses the scaling of excursion counts with quadratic variation to classify signals as stochastic or deterministic.
Quantum channels built from sigma-complete ultrafilters map normal states to singular sigma-additive states on ell_2(kappa) precisely when kappa is Ulam measurable.
Partial advance on the conjecture that a quarter-plane walk's univariate generating function is D-finite precisely when its group is finite, by establishing non-D-finiteness for 21 infinite-group cases and stating a conjecture for 21 others.
Obtains limit formula for observable diameter with non-Euclidean screen and defines error versions for sequences with varying screens.
Gauge-fixed LQG quantization of spherically symmetric gravity plus scalar matter reproduces the Dirac quantization results for vacuum black holes throughout the outer region.
citing papers explorer
-
Invariants of real affine varieties based on their complexifications
New invariants extracted from the topology of complexifications of real algebraic sets classify algebraic vector bundles over sphere products and obstruct weak algebraic approximation, disproving Kucharz-Kurdyka conjecture.
-
Hamilton--Jacobi theory for non-conservative field theories in the $k$-contact framework
Develops Hamilton-Jacobi theory for non-conservative classical field theories in the k-contact framework, with z-independent and z-dependent approaches, affine/quadratic Hamiltonian cases, and recovery of the k=1 contact theory.
-
Detecting Stochasticity in Discrete Signals via Nonparametric Excursion Theorem
A model-free diffusion test for discrete time series that uses the scaling of excursion counts with quadratic variation to classify signals as stochastic or deterministic.
-
Quantum channels preserving sigma-additivity and Ulam measurable cardinals
Quantum channels built from sigma-complete ultrafilters map normal states to singular sigma-additive states on ell_2(kappa) precisely when kappa is Ulam measurable.
-
On the small-step quarter plane lattice walks with a non D-finite univariate generating function
Partial advance on the conjecture that a quarter-plane walk's univariate generating function is D-finite precisely when its group is finite, by establishing non-D-finiteness for 21 infinite-group cases and stating a conjecture for 21 others.
-
Observable diameters with varying screens
Obtains limit formula for observable diameter with non-Euclidean screen and defines error versions for sequences with varying screens.
-
Consistency of the LQG quantization of black holes coupled with scalar matter and a clock
Gauge-fixed LQG quantization of spherically symmetric gravity plus scalar matter reproduces the Dirac quantization results for vacuum black holes throughout the outer region.