PreprintCC BY 4.0arXiv
On the variety of sum of powers of certain complete intersection forms
Abstract
Let F be a homogeneous polynomial (form). If the annihilator ideal F⊥ is a complete intersection, then F is called as a complete intersection form. For many complete intersection forms, we show that its minimal apolar ideal is a complete intersection and further we show that VSP(F) is irreducible and compute its dimension.
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BibTeX
@misc{bhat2026variety,
title = {{On the variety of sum of powers of certain complete intersection forms}},
author = {Meghana Bhat and Ronnie Sebastian},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.21544},
eprint = {2610.21544},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.21544},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On the variety of sum of powers of certain complete intersection forms
AU - Meghana Bhat
AU - Ronnie Sebastian
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.21544
UR - https://arxiv.org/abs/2610.21544
AB - Let F be a homogeneous polynomial (form). If the annihilator ideal F^⊥ is a complete intersection, then F is called as a complete intersection form. For many complete intersection forms, we show that its minimal apolar ideal is a complete intersection and further we show that VSP(F) is irreducible and compute its dimension.
ER -