Horizon 发表于 2025-3-23 11:44:41
Caustics of Plane Curves, Their Birationality and Matrix Projections,rce point . in the plane. Then we prove more generally a theorem for curves . in the projective space of 3 × 3 symmetric matrices .. For a general 3 × 1 vector . the projection to the plane given by . → . is birational on ., unless . is not a line and . is contained in a plane of the form ..否决 发表于 2025-3-23 14:47:13
http://reply.papertrans.cn/16/1528/152750/152750_12.pnglipids 发表于 2025-3-23 20:02:18
Delta Economics and Sustainability, methods involve different stability conditions. In dimension 2 we prove that there is a natural connection between them, related to a yet another stability condition, the linear stability. Finally we make some speculations and prove new results in higher dimension.自爱 发表于 2025-3-24 00:36:36
Delusions and Prediction Error, of . and irreducible components of the exceptional divisor in the minimal resolution of the quotient singularity .. Over non algebraically closed fields . there may exist representations irreducible over . which split over .. The same is true for irreducible components of the exceptional divisor. IAccrue 发表于 2025-3-24 03:15:06
http://reply.papertrans.cn/16/1528/152750/152750_15.png伦理学 发表于 2025-3-24 07:57:13
http://reply.papertrans.cn/16/1528/152750/152750_16.pngMangle 发表于 2025-3-24 11:31:52
https://doi.org/10.1057/9780230289758neral Kummer surface), the limits as . ∈ .. tends to 0 of the Severi varieties ..(..), parametrizing irreducible .-nodal plane sections of ... We give applications of this to (i) the counting of plane nodal curves through base points in special position, (ii) the irreducibility of Severi varieties oIsthmus 发表于 2025-3-24 18:08:42
http://reply.papertrans.cn/16/1528/152750/152750_18.pngFreeze 发表于 2025-3-24 19:56:35
https://doi.org/10.1007/978-3-662-53666-7e. Let . be a nef line-bundle on ., such that the top power . vanishes and . is primitive. Assume that the two dimensional subspace ..(.) ..(.) of . intersects . trivially. We prove that the linear system of . is base point free and it induces a Lagrangian fibration on .. In particular, the line-bunCURL 发表于 2025-3-25 01:31:08
https://doi.org/10.1007/978-3-662-53666-7 bundle (this was known in the projective case even without assumption on the existence of vector fields). We further show that a global projective deformation of the projectivised tangent bundle over a projective space is again of this type unless it is the projectivisation of a special unstable bu