%0 Generic %1 pogudin2016products %A Pogudin, Gleb %D 2016 %K Jet Scheme %T Products of Ideals and Jet Schemes %U http://arxiv.org/abs/1610.04353 %X In the present paper, we give a full description of the jet schemes of the polynomial ideal $łeft( x_1x_n \right) kx_1, łdots, x_n$ over a field of zero characteristic. We use this description to answer questions about products and intersections of ideals emerged recently in algorithmic studies of algebraic differential equations.

@misc{pogudin2016products, abstract = {In the present paper, we give a full description of the jet schemes of the polynomial ideal $\left( x_1\ldots x_n \right) \in k[x_1, \ldots, x_n]$ over a field of zero characteristic. We use this description to answer questions about products and intersections of ideals emerged recently in algorithmic studies of algebraic differential equations.}, added-at = {2018-12-05T01:52:55.000+0100}, author = {Pogudin, Gleb}, biburl = {https://www.bibsonomy.org/bibtex/2bf92f6d5752b195abe1b48d9b10e13d8/taka3617}, description = {Products of Ideals and Jet Schemes}, interhash = {37305a1edb54c12db5eda744f0fa6aa4}, intrahash = {bf92f6d5752b195abe1b48d9b10e13d8}, keywords = {Jet Scheme}, note = {cite arxiv:1610.04353}, timestamp = {2018-12-05T01:52:55.000+0100}, title = {Products of Ideals and Jet Schemes}, url = {http://arxiv.org/abs/1610.04353}, year = 2016 }