Search results for "Danielewski"

Embeddings of a family of Danielewski hypersurfaces and certain \C^+-actions on \C^3

2006

International audience; We consider the family of complex polynomials in \C[x,y,z] of the form x^2y-z^2-xq(x,z). Two such polynomials P_1 and P_2 are equivalent if there is an automorphism \varphi of \C[x,y,z] such that \varphi(P_1)=P_2. We give a complete classification of the equivalence classes of these polynomials in the algebraic and analytic category.

The Black Block : Opaque Page as a Graphic Device

2019

The black block, a rectangle of black printing ink on the page of a book, surrounded by blank margins, is a peculiar graphic device. Its literary tradition has usually been considered to start from Tristram Shandy, which includes a renowned black page in memory of “poor Yorick”. Nevertheless, Sterne’s gimmick can be seen as an allusion to an older typographical tradition of the so-called mourning pages, which were featured in books remembering the departed decades before Tristram Shandy. In this article, we analyze the ways in which the black block is used in narrative literature, with examples chosen mainly from 20th century experimental fiction. The block proves ambivalent in that it seem…

Explorative exposure : Media in and of Mark Z. Danielewski’s House of Leaves

2018

Embeddings of Danielewski hypersurfaces

2008

In this thesis, we study a class of hypersurfaces in $\mathbb{C}^3$, called \emph{Danielewski hypersurfaces}. This means hypersurfaces $X_{Q,n}$ defined by an equation of the form $x^ny=Q(x,z)$ with $n\in\mathbb{N}_{\geq1}$ and $\deg_z(Q(x,z))\geq2$. We give their complete classification, up to isomorphism, and up to equivalence via an automorphism of $\mathbb{C}^3$. In order to do that, we introduce the notion of standard form and show that every Danielewski hypersurface is isomorphic (by an algorithmic procedure) to a Danielewski hypersurface in standard form. This terminology is relevant since every isomorphism between two standard forms can be extended to an automorphism of the ambiant …