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Showing 1 to 4 of 4 for “"Rees algebras"”.
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Rees algebras and iterated Jacobian duals
… the coordinate ring of the graph of Ψ is the Rees algebra of <em>I</em> and the co-ordinate ring of the image of Ψ is the special fiber ring. We study two settings. The first setting is when <em>I</em> is almost linearly presented. Here we study the ideal defining the graph and the image of Ψ. …
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Prime Saturations and Rees Algebras of Almost Linearly Presented Ideals
… two descriptions of the ideal A defining the Rees algebra Rees(I) and if in addition I is generated by d+1 elements, we give an explicit generating set for A.
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The Combinatorics of Involutive Bases: Theory, algorithms and applications
… ideals is through the algebraic concept of Rees algebras. The relationship between the two is an important topic in commutative algebra and algebraic geometry. The Rees algebra of a monomial ideal is an algebra with a rich combinatorial structure that encodes information about the powers of …
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Syzygies and implicitization of tensor product surfaces
… equation of λ in P3. Currently, syzygies and Rees algebras provide the fastest and most versatile method to find implicit equations of parameterized surfaces. Knowing the structure of the syzygies of the polynomials that define the map λ allows us to formulate faster algorithms for …